【摘要】 通过对分形维数所具备必要属性的讨论,给出了分形维数的伸缩准则与局部准则,为维数特征的刻画提出了一个普适标准.分析了规范精度维数,并证明了其既满足伸缩准则也满足局部准则.更多还原

【Abstract】 Through the discussing the necessary characteristics that fractal dimension should possess,we drew the stretching criterion and local criterion on fractal dimension,which are a universal standard for the characterization of dimension.We also analysed the normal dimension with accuracy,and proved that the dimension satisfies both stretching and local criterions.更多还原